Question

Verify that $-(-x)=x$ for
(i) $x=\frac{11}{15}$ (ii) $x=-\frac{13}{17}$

Answer 1

Given identity $-(-x)=x$.....(i)
(i) For $x=\frac{11}{15}$
Consider, L.H.S:$-(-x)=-(-\frac{11}{15})$
$=\frac{11}{15}$ (Since, $-(-a)=a$)
$=x$
$=$ R.H.S
Thus,$-(-x)=x$ verifies for $x=\frac{11}{15}$.
(ii) For $x=-\frac{13}{17}$
Consider, L.H.S:$-(-x)=-(-\frac{13}{17})$
$=\frac{13}{17}$ (Since, $-(-a)=a$)
$=x$
$=$R.H.S
Thus, $-(-x)=x$ verifies for $x=-\frac{13}{17}$